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Finding the Third Proportional to 41,339 and 63,893

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Solution

The third proportional to 41,339 and 63,893 is: 98,752.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,339 : 63,893 = 63,893 : x
  2. Step 2: Convert to fraction form
    41,339/63,893 = 63,893/x
  3. Step 3: Cross multiply
    41,339x = 63,893 × 63,893
  4. Step 4: Simplify right side
    41,339x = 4,082,315,449
  5. Step 5: Solve for x
    x = 4,082,315,449/41,339
  6. Step 6: Final answer
    x = 98,752.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.